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Completing Canonical Quantization

The process of canonical quantization:is reexamined with the goal of
ensuring there is only one reality, where $\hbar>0$, in which classical
and quantum theories coexist. Two results are a clarification of the effect of
canonical coordinate transformations and the role of Cartesian coordinates.
Other results provide validation

of alternative quantum procedures that allow acceptable solutions
for models
that exhibit unacceptable solutions using traditional procedures. Several
examples will illustrate advantages of the new classical/quantum connection
including one case where conventional methods lead to quantum triviality while
the enhanced procedures lead to an acceptable nonlinear quantum
behaviour.

This seminar uses only simple physical and mathematical concepts,
and should be widely accessible.